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996131520 = 2634538431
BaseRepresentation
bin111011010111111…
…100001011000000
32120102101201120000
4323113330023000
54020002202040
6242502320000
733453656346
oct7327741300
92512351500
10996131520
1147132139a
12239729000
1312b4b4447
1496421996
155c6ba130
hex3b5fc2c0

996131520 has 140 divisors (see below), whose sum is σ = 3543507264. Its totient is φ = 265628160.

The previous prime is 996131519. The next prime is 996131537. The reversal of 996131520 is 25131699.

996131520 is a `hidden beast` number, since 9 + 9 + 613 + 15 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6705 + ... + 45135.

Almost surely, 2996131520 is an apocalyptic number.

996131520 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771753632).

996131520 is an abundant number, since it is smaller than the sum of its proper divisors (2547375744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

996131520 is a wasteful number, since it uses less digits than its factorization.

996131520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38460 (or 38441 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 996131520 is about 31561.5512926725. The cubic root of 996131520 is about 998.7088402908.

The spelling of 996131520 in words is "nine hundred ninety-six million, one hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 38431 76862 115293 153724 192155 230586 307448 345879 384310 461172 576465 614896 691758 768620 922344 1037637 1152930 1229792 1383516 1537240 1729395 1844688 2075274 2305860 2459584 2767032 3074480 3112911 3458790 3689376 4150548 4611720 5188185 5534064 6148960 6225822 6917580 7378752 8301096 9223440 10376370 11068128 12297920 12451644 13835160 15564555 16602192 18446880 20752740 22136256 24903288 27670320 31129110 33204384 36893760 41505480 49806576 55340640 62258220 66408768 83010960 99613152 110681280 124516440 166021920 199226304 249032880 332043840 498065760 996131520